Stability Analysis for a Class of Systems: From Model-Based Methods to Data-Driven Methods

被引：12

作者：

Wang, Zhuo ^{[1
]}

Liu, Derong ^{[2
,3
]}

机构：

[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada

[2] Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China

[3] Univ Illinois, Dept Elect & Comp Engn, Chicago, IL 60607 USA

来源：

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS | 2014年 / 61卷 / 11期

关键词：

Bounded-input/bounded-state (BIBS) and bounded-input/bounded-output BIBO) stabilities; continuoustime and discrete-time systems; data-driven methods; model-based methods; stability of the equilibrium point;

D O I：

10.1109/TIE.2014.2308146

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents some new methods to analyze the stability of the equilibrium point, and the bounded-input/ boundedstate (BIBS) and the bounded-input/ bounded-output (BIBO) stabilities for linear systems and a class of nonlinear systems. We study these systems in both continuous-time and discrete-time forms, using approaches from model-based methods to datadriven methods. For linear systems, our work about the BIBS and the BIBO stabilities does not concern the state controllability or the state observability. The data-driven methods can analyze the stabilities by doing some simple experiments and observations, while not identifying the corresponding parameter matrices. Our methods are easier

引用

页码：6463 / 6471

页数：9

共 20 条

[1] Reduced-Order Model and Stability Analysis of Low-Voltage DC Microgrid [J].

Anand, Sandeep ;

Fernandes, B. G. .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2013, 60 (11) :5040-5049

[2]

[Anonymous], 2002, NONLINEAR SYSTEMS

[3]

Antsaklis P. J., 2006, LINEAR SYSTEMS

[4] Modeling of the Thermal State Change of Blast Furnace Hearth With Support Vector Machines [J].

Gao, Chuanhou ;

Jian, Ling ;

Luo, Shihua .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (02) :1134-1145

[5] Allocation of Actuators and Sensors for Coupled-Adjacent-Building Vibration Attenuation [J].

Gao, Huijun ;

Zhan, Wei ;

Karimi, Hamid Reza ;

Yang, Xuebo ;

Yin, Shen .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2013, 60 (12) :5792-5801

[6]

Huang L., 2003, The Theoretical Basis of the Stability and Robustness

[7] Intelligent Friction Modeling and Compensation Using Neural Network Approximations [J].

Huang, Sunan ;

Tan, Kok Kiong .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (08) :3342-3349

[8] A TS Fuzzy System Learned Through a Support Vector Machine in Principal Component Space for Real-Time Object Detection [J].

Juang, Chia-Feng ;

Chen, Guo-Cyuan .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (08) :3309-3320

[9] Further Input-to-State Stability Subtleties for Discrete-Time Systems [J].

Lazar, Mircea ;

Heemels, W. P. Maurice H. ;

Teel, Andy R. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (06) :1609-1613

[10] Stability and stabilisation of Markovian jump systems with time-varying delay: an input-output approach [J].

Li, Z. ;

Fei, Z. ;

Gao, H. .

IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (17) :2601-2610

← 1 2 →